Course Webpage for PHYS 530B at SIU--Carbondale

Course Webpage for
PHYS 530B: Quantum Mechanics II (2013 Fall)
Department of Physics, Southern Illinois University--Carbondale
Last updated: Dec 9, 2013. (This page is no more maintained.)

General information:
- Instructor: K. V. Shajesh (Office: Neckers 491, Tel.: 453-5212)
- Class meetings: MTR 5:00-5:50 PM, in Neckers 410.
- Office hours: WF 3:00-6:00 PM, or by appointment.
- Syllabus for the course. The Provost Office has put together a Syllabus Attachment to assist the student. It lists and provides web links for many elements that are important for a student.
Grades will be posted on SIU Online (password protected).
Lecture notes:
1. Set-01: Introduction [Aug 19] (Ref. Milton's notes, Chap 1 and 3.)
2. Set-02: Stern-Gerlach experiment [Aug 20, 22, 26, 27] (Ref. Milton's notes, Chap 1-8; Schwinger's QM book, Chap 1.)
3. Commutation relations:
  1. Set-03: Angular momentum generators [Aug 29, Sep 3] (Ref. Milton's notes, Chap 13, 16; Schwinger's QM book, Chap 3.)
  2. Set-04: Galilean invariance [Sep 5, 9] (Ref. Milton's notes, Chap 16-18; Schwinger's QM book, Chap 4; Schwinger's book titled Particle, Sources, and Fields, Vol. 1, chap 1.)
  3. Set-05: Galilean invariance: Spin and Position operator [Sep 9] (Ref. Milton's notes, Chap 16-18; Schwinger's QM book, Chap 4.)
  4. Set-06: Time evolution of dynamic variables and Hamilton equations [Sep 10] (Ref. Milton's notes, Chap 18; Schwinger's QM book, Chap 4.)
4. Angular momentum:
  1. Set-07: Angular momentum states [Sep 12] (Ref. Milton's notes, Chap 13; Schwinger's QM book, Chap 3.)
  2. Set-08: Harmonic oscillator states [Sep 16, 17] (Ref. Milton's notes, Chap 14; Schwinger's QM book, Chap 3.)
  3. Set-09: Angular momentum decomposition into harmonic oscillator [Sep 19] (Ref. Milton's notes, Chap 15; Schwinger's QM book, Chap 3.)
  4. Set-10: Rotation transformation function [Sep 23, 24, 30] (Ref. Milton's notes, Chap 21; Schwinger's QM book, Chap 3.)
  5. Set-11: Generating function for spherical harmonics [Oct 1, 3] (Ref. Milton's notes, Chap 22; Schwinger's QM book, Chap 3; Schwinger et al.'s electrodynamics book, Chap 20)
  6. Set-12: Orthonormality of spherical harmonics [Oct 7] (Ref. Milton's notes, Chap 22; Schwinger's QM book, Chap 3; Schwinger et al.'s electrodynamics book, Chap 20)
  7. Set-13: Differential equations for spherical harmonics [Oct 8, 10] (Ref. Milton's notes, Chap 22; Schwinger's QM book, Chap 3; Schwinger et al.'s electrodynamics book, Chap 20)
  8. Set-14: Addition of angular momentum [Oct 17, 21, 22] (Ref. Milton's notes, Chap 20; Schwinger's QM book, Chap 3)
5. Hydrogen atom:
  1. Set-15: (Classical) Hydrogen atom [Oct 24, 28] (Ref. Milton's notes, Chap 19; Schwinger's QM book, Sec. 9.1)
  2. Set-16: Hydrogen atom - Conserved quantities [Oct 29, Nov 4] (Ref. Milton's notes, Chap 19; Schwinger's QM book, Sec. 9.5)
  3. Set-17: Hydrogen atom as addition of two angular momentum [Nov 5, 7, 12] (Ref. Milton's notes, Chap 19; Schwinger's QM book, Sec. 9.5)
  4. Set-18: Hydrogen atom - Perturbations due to external fields [Nov 14, 18, 19] (Ref. Milton's notes, Chap 23; Schwinger's QM book, Sec. 9.6)
6. Scattering in quantum mechanics:
  1. Formulation of scattering problem [Nov 21] (Ref. Sec.II of attached notes)
  2. Eikonal approximation [Nov 25] (Ref. Sec.IV of attached notes)
  3. Scattering due to Yukawa potential [Nov 26] (Ref. Sec.IV of attached notes)
7. Dirac equation:
  1. Non-relativistic versus relativistic mechanics [Dec 2]
  2. Dirac equation [Dec 3, 5]
Homeworks:
1. Homework set No. 01 (Stern-Gerlach experiment.)
2. Homework set No. 02 [Due Sep 11] (Angular momentum generators.)
3. Homework set No. 02A (BONUS) [Due Sep 16] (Structure of phase in the generator.)
4. Homework set No. 03 [Due Sep 25] (Angular momentum, Harmonic oscillator.)
5. Homework set No. 04 [Due Oct 7] (Rotation tranformation function.)
6. Homework set No. 05 (Typos corrected on Oct 10) [Due Oct 18] (Spherical harmonics.)
7. Homework set No. 06 [Due Oct 30] (Addition of angular momentum.)
8. Homework set No. 07 [Due Nov 13] (Hydrogen atom.)
9. Homework set No. 08 [Due Nov 22] (Hydrogen atom wavefunctions.)
10. Homework set No. 09 [No submission required] (Eikonal approximation.)
Exams:
More information:
- References:
  - Principles of Quantum Mechanics, by R. Shankar.
  - Quantum Mechanics, by E. Merzbacher. (Assigned textbook.)
  - Quantum Mechanics: Symbolism of Atomic Measurements, by J. Schwinger, edited by B.-G. Englert.
  - K. A. Milton's lecture notes:
    - http://www.nhn.ou.edu/~milton/p3803-12.html
    - http://www.nhn.ou.edu/~milton/p4803-12.html
  - Modern Quantum Mechanics, by J. J. Sakurai.
  - Quantum Mechanics, by C. Cohen-Tannoudji, B. Diu, and F. Lalo\"{e}.
- Evaluation: Homework-30%, Midterm Exams (2x20%)-40%, Final Exam-30%.
- Exam schedule:
  - Exam I - September 26 (Thursday, in class),
  - Exam II - October 31 (Thursday, in class),
  - Final Exam - December 9 (Monday, 5.50pm-7.50pm).

Last updated on Dec 9, 2013 (and is no more maintained) by K V Shajesh (kvshajesh@gmail.com).